Add to ORKGThe DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of derived categories for any flip, which is known to be true for toroidal flips. In this paper, we construct new examples of Grassmannian flips that satisfy the DK Flip Conjecture.Comment: All comments are wellcome
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebra...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. E...
Ph.D.We investigate the DK conjecture on derived categories of coherent sheaves stated by Bondal-Orl...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
We introduce a new class of autoequivalences that act on the derived categories of certain vector bu...
We prove Qingyuan Jiang's conjecture on semiorthogonal decompositions of derived categories of Quot ...
This paper studies the derived category of the Quot scheme of rank $d$ locally free quotients of a s...
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve cla...
In this paper we define and study a generalization of the Belinson-Drinfeld Grassmannian to the case...
We show that various combinatorial invariants of matroids such as Chow rings and Orlik--Solomon alge...
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-kn...
We construct an ungraded version of Beilinson-Ginzburg-Soergel's Koszul duality for Langlands dual f...
We construct new examples of derived autoequivalences, for a family of higher-dimensional Calabi-Ya...
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered product...
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebra...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. E...
Ph.D.We investigate the DK conjecture on derived categories of coherent sheaves stated by Bondal-Orl...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
We introduce a new class of autoequivalences that act on the derived categories of certain vector bu...
We prove Qingyuan Jiang's conjecture on semiorthogonal decompositions of derived categories of Quot ...
This paper studies the derived category of the Quot scheme of rank $d$ locally free quotients of a s...
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve cla...
In this paper we define and study a generalization of the Belinson-Drinfeld Grassmannian to the case...
We show that various combinatorial invariants of matroids such as Chow rings and Orlik--Solomon alge...
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-kn...
We construct an ungraded version of Beilinson-Ginzburg-Soergel's Koszul duality for Langlands dual f...
We construct new examples of derived autoequivalences, for a family of higher-dimensional Calabi-Ya...
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered product...
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebra...
Under the framework of dynamics on projective varieties by Kawamata, Nakayama and Zhang \cite{Kawama...
A simple birational map is a K-equivalent birational map which is resolved by a single blowing-up. E...